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Finding the Fourth Proportional to 2,086.13, 2,878.80 and 1,201.93

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Solution

The fourth proportional to 2,086.13, 2,878.80 and 1,201.93 is: 1,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.13 : 2,878.80 = 1,201.93 : x
  2. Step 2: Convert to fraction form
    2,086.13/2,878.80 = 1,201.93/x
  3. Step 3: Cross multiply
    2,086.13x = 2,878.80 × 1,201.93
  4. Step 4: Simplify right side
    2,086.13x = 3,460,116.08
  5. Step 5: Solve for x
    x = 3,460,116.08/2,086.13
  6. Step 6: Final answer
    x = 1,658.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.